On macOS, the http or https link on the webpage redirects with a itmss link, which should be configured to open in iTunes. It should be very similar on iOS (iTunes Store). If you use a different OS or browser, or have blocked/changed itmss links, then it won’t work with the link.
Alternatively, go there manually: iTunes on computer: menu Account﹥View my Account﹥Sign in﹥Purchase History﹥Settings﹥Subscriptions﹥Manage﹥
or on iOS: App Store: Account symbol
or photo (upper right)﹥Your name/Apple ID﹥Subscriptions﹥
or on iOS: Settings﹥iTunes & App Store﹥Apple ID﹥View Apple ID﹥Subscriptions﹥